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670,144

26 × 37 × 283
Abundant Even Composite

670,144 factors as 2^6 × 37 × 283. Its 28 positive divisors give a proper-divisor sum of 700,440, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^6 × 37 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 1,370,584
Proper Divisor Sum 700,440
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #670139 ← → #670147

Radix Representation

Decimal 670144
Binary 10100011100111000000 (20 bits)
Octal 0o2434700
Hexadecimal 0xA39C0

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 283 296 566 592 1,132 1,184 2,264 2,368 4,528 9,056 10,471 18,112 20,942 41,884 83,768 167,536 335,072 670,144

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

670,144 335,072 167,536 83,768 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256

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